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Partial Differential Equations

Partial Differential Equations. 第三次作業 報告者 : 曾胤棋 指導教授 : 陳正宗老師. 題目 : yu x -xu y =3x u cauchy data:{u(x,0)=x 2 } u(x,o)=x 2

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Partial Differential Equations

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  1. Partial Differential Equations 第三次作業 報告者:曾胤棋 指導教授:陳正宗老師

  2. 題目:yux-xuy=3x u cauchy data:{u(x,0)=x2} u(x,o)=x2 Solve u(x,y)=? y x Sol:

  3. 設p=c1 q=c2

  4. PDE的通解為 q=f(p) q為有(u)的函數 p為無(u)的函數

  5. 參數解為: 將x平方+y平方減掉3倍y會得到: 此為顯示解

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